Three-dimensional evaluation of inclusion particles in steel

The estimation of inclusion particles has a relation close to the control of steel grain growth as well as the production of clean steel.In present study,the electrolytic extraction methods using nonaqueous electrolyte have been examined for the extraction of various inclusion particles,in order to evaluate their three-dimensional morphologies and compositional segregations.The cross section of fine inclusion particle,which was prepared by focused ion beam method,was qualitatively analyzed using Auger electron spectroscopy.From the results obtained by this method,the formation mechanism of complex inclusion particle could be explained clearly.

Concept and evaluation of bay health:the role of numerical model in the Yueqing Bay,China

To better evaluate the three-dimensional bay health and predict the dynamic bay health conditions, a concept of numerical bay health was introduced and a method of numerical bay health evaluation（NBHE） was developed.To support the NBHE method, a numerical bay health index（NBHI） system was constructed, which assess the natural and socio-economic effects on the entire bay. Five index groups are combined to formulate the NBHI,including geometry, hydrodynamics and sediment dynamics, bio-ecology, water quality and socio-economy.Each group has different number of indices selected and weighted using AHP method according to their importance. Data were mainly synthesized from a variety of numerical models together with monitoring programs, which provide superior to other approaches in discriminating data integrity and predicting data in future. The NBHE method using NBHI system was applied in the Yueqing Bay during spring tide in April 2007.According to the NBHE results, Sta. A, at the surface level of the estuarine mouth, has a healthy geometry condition, sub-healthy hydrodynamic and sediment dynamic condition, and unhealthy water quality and bioecology conditions. The integrated healthy score at Sta. A indicates its sub-healthy condition.

R & D project's investment evaluation based on real option and its value at risk

The authors looked upon it as real options and applied the VaR(Value at Risk) method to the evaluation of its risk value based on the analysis of R & D project investment characteristics,and advanced the evaluation model of the project’s return and risk according to financial theories.This paper expounded the two dimension evaluation model of project,and divided it into five decision making regions.

Evaluation of dimension of fractal time series with the least square method

Properties of fractional Brownian motions （fBms） have been investigated by researchers in different fields, e.g. statistics, hydrology, biology, finance, and public transportation, which has helped us better understand many complex time series observed in nature [1-4]. The Hurst exponent H （0 〈 H 〈 1） is the most important parameter characterizing any given time series F（t）, where t represents the time steps, and the fractal dimension D is determined via the relation D = 2 - H.

Preservation of Quasi-isomorphisms of Complexes

We consider the preservation property of the homomorphism and tensor product functors for quasi-isomorphisms and equivalences of complexes. Let X and Y be two classes of R-modules with Ext〉I（X,Y） = 0 for each object X ∈ X and each object Y ∈ Y. We show that if A,B ∈ C^（R） are X-complexes and U, V ∈ Cr（R） are Y-complexes, then U V Hom（A, U） Hom（A, Y）; A B Hom（B, U） Hom（A, U）. As an application, we give a sufficient condition for the Hom evaluation morphism being invertible.